221133342310400 has 816 divisors, whose sum is σ = 609344211547344. Its totient is φ = 79077562122240.

The previous prime is 221133342310393. The next prime is 221133342310411. The reversal of 221133342310400 is 4013243331122.

It can be written as a sum of positive squares in 24 ways, for example, as 217606398214144 + 3526944096256 = 14751488^2 + 1878016^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 218295500294 + ... + 218295501306.

Almost surely, 2^{221133342310400} is an apocalyptic number.

221133342310400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221133342310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304672105773672).

221133342310400 is an abundant number, since it is smaller than the sum of its proper divisors (388210869236944).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

221133342310400 is a wasteful number, since it uses less digits than its factorization.

221133342310400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1382 (or 1347 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 221133342310400 its reverse (4013243331122), we get a palindrome (225146585641522).

The spelling of 221133342310400 in words is "two hundred twenty-one trillion, one hundred thirty-three billion, three hundred forty-two million, three hundred ten thousand, four hundred".